Question

New Function: g(x) = |x - 3| + 1What is the toolkit function that was transformed to create the new function?Absolute Value FunctionSquare Root FunctionQuadratic FunctionLinear Function

Answer 1

We are given the function

$|x\text{ -3\mid+1}$

and asked to check from which function this came from. We solve this by comparison

THe square root function looks like this

$\sqrt{x}$

the quadratic function looks like this

$x^2$

a linear function looks like this

$ax+b$

and the absolute value function looks like this

$|x|$

the only function that looks alike is the absolute value function. So the correct answer is the absolute value function